#signrelationalmanifolds — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #signrelationalmanifolds, aggregated by home.social.
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• https://inquiryintoinquiry.com/2022/11/06/sign-relational-manifolds-5-2/
Let me try to say in intuitive terms what I think is really going on here.
The problem is as old as those about #OtherMinds, #Intersubjectivity, or #Commensurability and it involves a whole slew of other old problems — #RealityVsAppearance or #RealityVsRepresentation, not to mention #TheOneAndTheMany. One way to sum up the question might be “conditions on the possibility of a #MutuallyObjectiveWorld ”.
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#SignRelationalManifolds • 4
• http://inquiryintoinquiry.com/2022/11/05/sign-relational-manifolds-4-2/Another set of notes I found on this theme strikes me as getting to the point more quickly and though they read a little rough in places I think it may be worth the effort to fill out their general line of approach.
#RepresentationInvariantOntology
#Peirce #Semiotics #SignRelations
#Riemann #SergeLang #Manifolds
#DifferentialGeometry #DifferentialLogic -
#SignRelationalManifolds • 3
• http://inquiryintoinquiry.com/2022/11/03/sign-relational-manifolds-3-2/I'm not sure when it was I first noticed the relationship between #manifolds and #semiotics but I distinctly recall the passage in Serge Lang's Differential and Riemannian Manifolds (1995) which brought the triadic character of tangent vectors into high relief.
Excerpts from Lang's DARM
Chapter 2. Manifolds
2.1. #Atlases, #Charts, #Morphisms
• https://web.archive.org/web/20150302021003/http://stderr.org/pipermail/inquiry/2003-April/thread.html#442
2.2. #Submanifolds, #Immersions, #Submersions
• https://web.archive.org/web/20141220174800/http://stderr.org/pipermail/inquiry/2003-May/thread.html#448 -
#SignRelationalManifolds • 3
• http://inquiryintoinquiry.com/2022/11/03/sign-relational-manifolds-3-2/I'm not sure when it was I first noticed the relationship between #manifolds and #semiotics but I distinctly recall the passage in Serge Lang's Differential and Riemannian Manifolds (1995) which brought the triadic character of tangent vectors into high relief.
Excerpts from Lang's DARM
Chapter 2. Manifolds
2.1. #Atlases, #Charts, #Morphisms
• https://web.archive.org/web/20150302021003/http://stderr.org/pipermail/inquiry/2003-April/thread.html#442
2.2. #Submanifolds, #Immersions, #Submersions
• https://web.archive.org/web/20141220174800/http://stderr.org/pipermail/inquiry/2003-May/thread.html#448 -
#SignRelationalManifolds • 3
• http://inquiryintoinquiry.com/2022/11/03/sign-relational-manifolds-3-2/I'm not sure when it was I first noticed the relationship between #manifolds and #semiotics but I distinctly recall the passage in Serge Lang's Differential and Riemannian Manifolds (1995) which brought the triadic character of tangent vectors into high relief.
Excerpts from Lang's DARM
Chapter 2. Manifolds
2.1. #Atlases, #Charts, #Morphisms
• https://web.archive.org/web/20150302021003/http://stderr.org/pipermail/inquiry/2003-April/thread.html#442
2.2. #Submanifolds, #Immersions, #Submersions
• https://web.archive.org/web/20141220174800/http://stderr.org/pipermail/inquiry/2003-May/thread.html#448 -
#SignRelationalManifolds • 3
• http://inquiryintoinquiry.com/2022/11/03/sign-relational-manifolds-3-2/I'm not sure when it was I first noticed the relationship between #manifolds and #semiotics but I distinctly recall the passage in Serge Lang's Differential and Riemannian Manifolds (1995) which brought the triadic character of tangent vectors into high relief.
Excerpts from Lang's DARM
Chapter 2. Manifolds
2.1. #Atlases, #Charts, #Morphisms
• https://web.archive.org/web/20150302021003/http://stderr.org/pipermail/inquiry/2003-April/thread.html#442
2.2. #Submanifolds, #Immersions, #Submersions
• https://web.archive.org/web/20141220174800/http://stderr.org/pipermail/inquiry/2003-May/thread.html#448 -
#Peirce #Kant #Riemann
#SignRelationalManifolds
https://inquiryintoinquiry.com/2022/11/01/sign-relational-manifolds-2-2/Applications of #Manifolds are illustrated by the following excerpts from Doolin & Martin's Introduction to #DifferentialGeometry for Engineers.
https://web.archive.org/web/20110612002240/http://suo.ieee.org/ontology/thrd28.html#04056
Manifolds came up in connection with #Ontology and #Semiotics due to the issues of #Perspectivity, #OntologicalRelativity, and #Interoperability among multiple ontologies. As I see it, those are the very sorts of problems manifolds were invented to handle.